Probability, Random Variables, and Probability Distributions
What is typically needed to create an accurate representation of real-life events when conducting simulations?
When using a simulation to estimate the probability that at least 60% of a school's students will pass an AP exam, which technique most accurately reflects the complexity of student performance?
If a student uses a simulation to estimate the probability of rain on a given day, which aspect of their simulation design will most directly influence the variability of their probability estimate?
What do we call a long run relative frequency as it approaches an expected value through many trials in a simulation?
If a simulation is designed to estimate the probability of drawing at least one red ball from a bag containing an unknown mixture of red and blue balls, which technique ensures that the simulation accounts for variability in the mixture?
In statistical simulation modeling, why is it important not to introduce personal bias when deciding how many trials to run?
What role does randomness play when creating simulations for estimating probabilities in experimental design?
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When running multiple trials for estimation via simulation, why is it important for all trials to remain independent?
In conducting a simulation to determine the likelihood that a player wins a game, what should be noted about each trial's outcome to best understand variability?
What is a common tool used for conducting simple random simulations?